27734099328000 has 1408 divisors, whose sum is σ = 111766915303680. Its totient is φ = 6825959424000.

The previous prime is 27734099327971. The next prime is 27734099328011. The reversal of 27734099328000 is 82399043772.

27734099328000 is a `hidden beast` number, since 2 + 7 + 73 + 409 + 93 + 2 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3639164190 + ... + 3639171810.

Almost surely, 2^{27734099328000} is an apocalyptic number.

27734099328000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27734099328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883457651840).

27734099328000 is an abundant number, since it is smaller than the sum of its proper divisors (84032815975680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27734099328000 is an frugal number, since it uses more digits than its factorization.

27734099328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7690 (or 7644 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 27734099328000 in words is "twenty-seven trillion, seven hundred thirty-four billion, ninety-nine million, three hundred twenty-eight thousand".